84524786641 has 32 divisors (see below), whose sum is σ = 93022987680. Its totient is φ = 76473040896.

The previous prime is 84524786617. The next prime is 84524786653. The reversal of 84524786641 is 14668742548.

It can be written as a sum of positive squares in 16 ways, for example, as 3226240000 + 81298546641 = 56800^2 + 285129^2 .

It is a 5-Lehmer number, since φ(84524786641) divides (84524786641-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 84524786641 - 2¹¹ = 84524784593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84524786681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61561431 + ... + 61562803.

It is an arithmetic number, because the mean of its divisors is an integer number (2906968365).

Almost surely, 2^84524786641 is an apocalyptic number.

It is an amenable number.

84524786641 is a deficient number, since it is larger than the sum of its proper divisors (8498201039).

84524786641 is a wasteful number, since it uses less digits than its factorization.

84524786641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533.

The product of its digits is 10321920, while the sum is 55.

The spelling of 84524786641 in words is "eighty-four billion, five hundred twenty-four million, seven hundred eighty-six thousand, six hundred forty-one".